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68098048 = 21141811
BaseRepresentation
bin1000000111100…
…01100000000000
311202010201221221
410003301200000
5114413114143
610431324424
71454552404
oct403614000
9152121857
1068098048
1135492087
121a980714
1311153c05
149089104
155ea22ed
hex40f1800

68098048 has 48 divisors (see below), whose sum is σ = 139655880. Its totient is φ = 33177600.

The previous prime is 68098001. The next prime is 68098049. The reversal of 68098048 is 84089086.

It is a junction number, because it is equal to n+sod(n) for n = 68097995 and 68098013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68098049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83563 + ... + 84373.

Almost surely, 268098048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69827940).

68098048 is an abundant number, since it is smaller than the sum of its proper divisors (71557832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68098048 is an equidigital number, since it uses as much as digits as its factorization.

68098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 68098048 is about 8252.1541430102. The cubic root of 68098048 is about 408.3615915286.

The spelling of 68098048 in words is "sixty-eight million, ninety-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 811 1024 1312 1622 2048 2624 3244 5248 6488 10496 12976 20992 25952 33251 41984 51904 66502 83968 103808 133004 207616 266008 415232 532016 830464 1064032 1660928 2128064 4256128 8512256 17024512 34049024 68098048